Lessons

1.

A bird is sitting in a 35 metre tall tree looking down at a worm on the ground. If the angle of depression from the bird to the ground is 55∘ 55^\circ 55​∘​​, how far is the bird from the worm?

2.

Standing on the balcony of an building A, the angle of elevation to the top of the building B across the street is 47∘47^\circ 47​∘​​, and the angle of depression to the bottom of the building B is 58∘. 58^\circ.58​∘​​. If the buildings are 42 metres apart, find the height of the building B across the street.

3.

Polar Company has designed an ice block in the shape of a cube. The volume of the cube is 15,625 cm3. cm^3. cm​3​​. Which of the following dimensions is the smallest opening of an ice dispenser that will accommodate length AB?